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Simplifying -5(1 + 7v) = 28 + -2v (1 * -5 + 7v * -5) = 28 + -2v (-5 + -35v) = 28 + -2v Solving -5 + -35v = 28 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -5 + -35v + 2v = 28 + -2v + 2v Combine like terms: -35v + 2v = -33v -5 + -33v = 28 + -2v + 2v Combine like terms: -2v + 2v = 0 -5 + -33v = 28 + 0 -5 + -33v = 28 Add '5' to each side of the equation. -5 + 5 + -33v = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -33v = 28 + 5 -33v = 28 + 5 Combine like terms: 28 + 5 = 33 -33v = 33 Divide each side by '-33'. v = -1 Simplifying v = -1
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